Mashchenko S. Individual-optimal equilibriums in non-cooperative games

This thesis is devoted to development and justification of the principle of individual optimum in the non-cooperative games, which implements the conception of compromise of every player with others for the sake of resolving the conflict between them. The notion of individual-optimal equilibrium was formalized, defined and the conditions of its existence were proved. Models, criterions and methods of stability estimation of individual-optimal equilibriums were built. The notion of equilibrium in players' preferences was formalized. Conditions of equilibrium existence were defined was explored. The notion of fuzzy individual-optimal equilibrium and the existence of the maximizing fuzzy equilibrium were defined.